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Question : Directions: The second number in the given number pairs is obtained by performing certain mathematical operation(s) on the first number. The same operation(s) is/are followed in all the number pairs, except one. Find that odd number pair. (NOTE: The relation should be found without breaking down the numbers into its constituent digits.)
Option 1: 225 : 169
Option 2: 361 : 400
Option 3: 529 : 576
Option 4: 441 : 484
Correct Answer: 225 : 169
Solution : Let's check the options – First option: 225: 169; (15)2 = 225; 15 – 2 = 13; (13)2 = 169 Second option: 361: 400; (19)2 = 361; 19 + 1 = 20; (20)2 = 400 Third option: 529: 576;
Question : Tokyo 2020 Paralympic Games bronze medallist Manoj Sarkar is associated with which of the following events?
Option 1: Shooting
Option 2: Badminton
Option 3: Table Tennis
Option 4: Athletics
Correct Answer: Badminton
Solution : The correct option is Badminton.
Manoj Sarkar is a distinguished para-badminton athlete hailing from Uttarakhand. His remarkable medal tally includes 19 gold medals, 13 silver medals, and 18 bronze medals, showcasing his exceptional prowess on the badminton court. His notable accomplishments include winning a
Question : The perimeter of a sector of a circle of radius 7.4 cm is 20.6 cm. The area of this sector is:
Option 1: 42.92 cm2
Option 2: 5.8 cm2
Option 3: 10.73 cm2
Option 4: 21.46 cm2
Correct Answer: 21.46 cm2
Solution : The radius of the circle = 7.4 cm Let the length of the arc be $l$ cm. The perimeter of the sector = Radius + Length of the arc + Radius $⇒20.6 = 7.4 + l + 7.4$ $⇒l = 20.6 -14.8 =
Question : A group of workers can complete a piece of work in 50 days when they are working individually. On the first day one person works, on the second day, another person joins him, on the third day one more person joins them and this process continues till the work is completed. How many approximate days are needed to complete the work?
Option 1: 8 days
Option 2: 9 days
Option 3: 10 days
Option 4: 11 days
Correct Answer: 10 days
Solution : Let the total work be 50 units and let a man complete 1 piece of work in a day. Work done on 1st day = 1 man × 1 work/day = 1 unit of work Work done on 2nd day = 2 men ×
Question : Directions: In the given question, a sentence is given with a blank to be filled in with an appropriate word. Four alternatives are suggested for each question. Choose the correct alternative out of the four alternatives.
Politicians requested both the warring communities to ____ restraint.
Option 1: depict
Option 2: enforce
Option 3: show
Option 4: exercise
Correct Answer: exercise
Solution : The correct choice is the fourth option.
It is as per the context of the question, which means that the politicians are urging the communities to demonstrate self-control and not engage in further conflict.
The meanings of the other options are as follows:
Question : A shopkeeper sells an item at a loss of 8%. However, if he increases the selling price by Rs. 36, he could gain 12%. Find the cost price of the article (in Rs.).
Option 1: 180
Option 2: 270
Option 3: 150
Option 4: 360
Correct Answer: 180
Solution : Given, Loss percentage = 8% Increase in Selling price = Rs 36 Gain percentage = 12% (100 + Gain %) – (100 – Loss %) = Increase Let the cost price of an item be Rs $x$. According to the question, ⇒ $(100 + 12)x
Question : If $\theta$ is an acute angle and $\sin \theta=\frac{43}{47}$, what is the value of $\cot \theta$?
Option 1: $\frac{6 \sqrt{10}}{47}$
Option 2: $\frac{43}{6 \sqrt{10}}$
Option 3: $\frac{47}{6 \sqrt{10}}$
Option 4: $\frac{6 \sqrt{10}}{43}$
Correct Answer: $\frac{6 \sqrt{10}}{43}$
Solution : $\sin \theta = \frac{43}{47}$ $\therefore \cos \theta = \sqrt{1-\sin^2 \theta} = \sqrt{1-(\frac{43}{47})^2}$ = $\sqrt\frac{360}{47^2}$ = $\frac{6\sqrt{10}}{47}$ $\cot \theta = \frac{\cos\theta}{\sin \theta} = \frac{\frac{6\sqrt{10}}{47}}{\frac{43}{47}} = \frac{6\sqrt{10}}{43}$ Hence, the correct answer is $\frac{6\sqrt{10}}{43}$.
Question : In which of the following sessions did the Congress split into two fractions?
Option 1: Calcutta Session of 1907
Option 2: Surat Session of 1907
Option 3: Nagpur Session of 1907
Option 4: Chotanagpur Session of 1908
Correct Answer: Surat Session of 1907
Solution : The correct option is the Surat Session of 1907.
The split of the Indian National Congress into two factions occurred during the Surat Session of 1907. This event marked a significant moment in the history of the Indian independence movement. The division
Question : What is the area of a square whose diagonal is $5 \sqrt{2}$ cm?
Option 1: 64 cm2
Option 2: 25 cm2
Option 3: 100 cm2
Option 4: 36 cm2
Correct Answer: 25 cm2
Solution : Diagonal of a square, $D$ = $5 \sqrt{2}$ cm Area of a square = $\frac{1}{2}D^2$ = $\frac{1}{2}(5 \sqrt{2})^2$ = $\frac{50}{2}$ = 25 cm2 Hence, the correct answer is 25 cm2.
Question : Directions: Which answer figure will complete the pattern in the question figure?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : On comparing the question figure and all the answer figures, the following figure will combine and make the complete pattern –
Hence, the first option is correct.
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